What is (9x^2-4x+11)-(3x^2-2x+2) ?

The solution to (9x^2-4x+11)-(3x^2-2x+2) is 6x^2-2x+9

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simplify (9x^2-4x+11)-(3x^2-2x+2)

simplify

(9 x^{2} - 4 x + 11) - (3 x^{2} - 2 x + 2)

6 x^{2} - 2 x + 9

Solution steps

(9 x^{2} - 4 x + 11) - (3 x^{2} - 2 x + 2)

Apply rule:

(a) = a

(9 x^{2} - 4 x + 11) = 9 x^{2} - 4 x + 11

= 9 x^{2} - 4 x + 11 - (3 x^{2} - 2 x + 2)

Apply the distributive law:

- (a - b) = - a + b

- (3 x^{2} - 2 x + 2) = - 3 x^{2} + 2 x - 2

= 9 x^{2} - 4 x + 11 - 3 x^{2} + 2 x - 2

Group like terms

= 9 x^{2} - 3 x^{2} - 4 x + 2 x + 11 - 2

Add similar elements:

9 x^{2} - 3 x^{2} = 6 x^{2}

= 6 x^{2} - 4 x + 2 x + 11 - 2

Add similar elements:

- 4 x + 2 x = - 2 x

= 6 x^{2} - 2 x + 11 - 2

Subtract the numbers:

11 - 2 = 9

= 6 x^{2} - 2 x + 9

(- 4 + 10 i) + (5 + 3 i)

\frac{x ^{10}}{x ^{3}}

\frac{x ^{2} - 5 x}{x ^{2} - 25}

(\frac{10}{7})^{- 2}

1 \frac{8}{9} \div \frac{1}{3}

What is (9x^2-4x+11)-(3x^2-2x+2) ?
The solution to (9x^2-4x+11)-(3x^2-2x+2) is 6x^2-2x+9